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Finding the Fourth Proportional to 6,581.76, 9,861.12 and 3,840

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Solution

The fourth proportional to 6,581.76, 9,861.12 and 3,840 is: 5,753.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.76 : 9,861.12 = 3,840 : x
  2. Step 2: Convert to fraction form
    6,581.76/9,861.12 = 3,840/x
  3. Step 3: Cross multiply
    6,581.76x = 9,861.12 × 3,840
  4. Step 4: Simplify right side
    6,581.76x = 37,866,700.80
  5. Step 5: Solve for x
    x = 37,866,700.80/6,581.76
  6. Step 6: Final answer
    x = 5,753.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.